Miguel is converting the number 10001110 to decimal. He performs the following calculation:
(
1
×
1
)
+
(
0
×
2
)
+
(
0
×
4
)
+
(
0
×
8
)
+
(
1
×
16
)
+
(
1
×
32
)
+
(
1
×
64
)
+
(
0
×
128
)
=
113
When Miguel’s friend Colton converts the same binary number, Colton gets 142. Who is right?
Miguel, because he has multiplied each bit by the correct decimal value.
Miguel, because Colton has multiplied by powers of 10 rather than powers of 2.
Colton, because Miguel has done his calculation backwards by starting with multiplying by 1 instead of 128.
Colton, because Miguel multiplied by powers of 10 rather than powers of 2.